SOLUTION: Simplify: 8log10

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Question 132625: Simplify: 8log10
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The general rule is:
log%28a%29+%2B+log%28b%29+=+log%28a%2Ab%29
Note that:

Following the general rule,
8%2Alog%2810%29+=+log%2810%2A10%2A10%2A10%2A10%2A10%2A10%2A10%29
log%2810%2A10%2A10%2A10%2A10%2A10%2A10%2A10%29+=+log%2810%5E8%29
This is saying "What is the exponent to the base 10 which gives
me 10%5E8? The question answers itself.
8%2Alog%2810%29+=+8
Another way to look at it is log%2810%29 is asking me: "What is the
exponent to the base 10 which gives me 10%5E1? The
answer is obviously 1
and 8%2Alog%2810%29+=+8%2A1
8%2A1+=+8